If the sum of the interior angles of a regular polygon measures up to 1620 degrees, then how many sides does the polygon have?

(a)10 (b)16 (c)12 (d)11

• polygon will have 11 sides.
  
  one of the interior angle = 180 - 360/n
  sum of the interior angles is = n (180 - 360/n)
  
  given
  
  n(180 - 360/n)=1620
  180n - 360 = 1620
  180n = 1980
  n = 1980/180 = 11
• 13 years agoHelpfull: Yes(2) No(2)
• d)11
  sol.:
  the sum of all the interior angles of any regular polygon= (n-2)*180,where n is the number of edges.
  so,(n-2)*180=1620
  or n=11
• 13 years agoHelpfull: Yes(2) No(2)